Question

State which set of three numbers could represent the lengths of the sides of a right triangle.
A.) 8, 12 , 16
B.) 16, 32, 36
C.) 5, 12, 13
D.) 6, 7, 8

Answer 1

@lisa2005 let's keep in mind the pythagorean rule:

a^2 + b^2 = c^2

if any of the numbers fit this description, it could be a right triangle.

Answer 2

For example, let's take the numbers of D.

6,7,8,

plug them into the pythagorean theorem

6^2 + 7^2 = 8^2
which becomes
36 + 49 =64

Is this a true statement? unfortunately, no, so D is not correct

Answer 3

Do what i did with D. Whichever one forms a true statement is correct :)

Answer 4

@lisa2005 do you understand?

Answer 5

Remember this rule:

The sum of any 2 sides of a triangle must be greater than the third side.



Then

\(\sf \Large a + b > c\\\Large
a + c > b\\\Large
b+ c > a\)

Answer 6

@Jamierox4ev3r 's way will not work all the time, unfortunately. :P

Answer 7

However, my way will always work :D

Answer 8

it works all the time if you're looking for a right triangle >_>

Answer 9

Questions like these however are not limited to right triangles all the time. :P